mathematical object
C3507
concept
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
All labels observed (72)
| Label | Occurrences |
|---|---|
| mathematical concept | 236 |
| mathematical object canonical | 73 |
| topological invariant | 23 |
| sporadic simple group | 16 |
| mathematical function | 15 |
| mathematical notation | 14 |
| knot invariant | 11 |
| mathematical constant | 11 |
| mathematical operator | 10 |
| algebraic curve | 9 |
| mathematical construction | 8 |
| number-theoretic function | 8 |
| combinatorial object | 7 |
| arithmetic function | 6 |
| complex number | 6 |
| arithmetic invariant | 5 |
| real number | 5 |
| Hurwitz surface | 4 |
| algebraic structure property | 4 |
| class of polyhedra | 4 |
| complex manifold | 4 |
| differentiable manifold | 4 |
| integral domain | 4 |
| multiplicative function | 4 |
| polynomial invariant | 4 |
| projective variety | 4 |
| compact Riemann surface | 3 |
| complex-valued function | 3 |
| mathematical construct | 3 |
| mathematical curve | 3 |
| mathematical visualization | 3 |
| meromorphic function | 3 |
| object in arithmetic geometry | 3 |
| object in number theory | 3 |
| object in representation theory | 3 |
| abstract object | 2 |
| complex algebraic curve | 2 |
| one-dimensional complex manifold | 2 |
| operator algebra | 2 |
| real-valued function | 2 |
| C*-algebra | 1 |
| analytic space | 1 |
| constructible polygon problem | 1 |
| definite integral | 1 |
| family of sporadic simple groups | 1 |
| graphical representation of binary quadratic forms | 1 |
| imaginary unit | 1 |
| isomorphism | 1 |
| lattice in 24-dimensional Euclidean space | 1 |
| lattice in the complex plane | 1 |
| mathematical quantity | 1 |
| mathematical set | 1 |
| measure-theoretic notion | 1 |
| named mathematical concept | 1 |
| notion in real analysis | 1 |
| number theoretic object | 1 |
| number-theoretic constant | 1 |
| number-theoretic object | 1 |
| object in abstract algebra | 1 |
| object in dynamical systems theory | 1 |
| object in functional analysis | 1 |
| object in gauge theory | 1 |
| object in harmonic analysis | 1 |
| object in hyperbolic geometry | 1 |
| object in kinetic theory | 1 |
| object in real analysis | 1 |
| object of mathematical physics | 1 |
| objective function | 1 |
| representation of natural numbers | 1 |
| straightedge-and-compass construction | 1 |
| tool in additive number theory | 1 |
| topological notion | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: mathematical object
Generated description
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
Instances (494)
| Instance | Via concept surface |
|---|---|
| Tamagawa numbers | arithmetic invariant |
| Lusternik–Schnirelmann category | topological invariant |
| Kolmogorov–Sinai entropy | mathematical concept |
| Mandelbrot set | — |
| Oseledec splitting | mathematical concept |
| Jacobian determinant | mathematical concept |
| Hilbert symbol | mathematical concept |
| Jacobian matrix | mathematical concept |
| Jacobi manifold | mathematical concept |
| Martin-Löf randomness | mathematical concept |
|
Gregory Chaitin
surface form:
Chaitin's constant
|
real number |
| Julia set | — |
| Forms | abstract object |
| Hurwitz determinants | mathematical concept |
|
Schouten
surface form:
Schouten tensor
|
— |
|
the Form of Beauty
surface form:
Form of Beauty
|
abstract object |
| Cornu spiral | mathematical curve |
| Jacobi sums | number-theoretic function |
| Sierpiński carpet | — |
| Infinitude | mathematical concept |
|
Riesz
surface form:
Riesz transforms
|
mathematical concept |
| Riesz basis | mathematical concept |
| Herbrand function | mathematical concept |
| Artin conductor | arithmetic invariant |
|
Fourier
surface form:
Fourier series
|
mathematical concept |
| Scott continuity | mathematical concept |
| Noether boundary value problems | mathematical concept |
| Frobenius conjugacy class | mathematical concept |
| Betti numbers | topological invariant |
| Cohen–Macaulay ring | — |
| RPN | mathematical notation |
| Polish notation | mathematical notation |
| V_us | complex number |
| V_cb | complex number |
| V_td | complex number |
| V_ts | complex number |
| V_tb | complex number |
| Landau collision operator | mathematical operator |
| Λ | mathematical constant |
| Riemann xi function | complex-valued function |
| Gram points | mathematical concept |
| Cauchy completion | mathematical construction |
| Wirtinger derivatives | mathematical concept |
| Zassenhaus neighborhood | mathematical concept |
| Langevin function | mathematical function |
| Weierstrass form | mathematical concept |
| Twisted Edwards curve | algebraic curve |
| Karush–Kuhn–Tucker conditions | mathematical concept |
| ELBO | objective function |
| Gröbner fan | combinatorial object |